A fan,electric heater,and lamp are connected in parallel across a 120-V line.The resistances are R_lamp = 148 Ω,R_heater = 32 Ω,and R_fan = 48 Ω.What is the total current supplied to the circuit? A)17.0 A B)7.06 A C)0.526 A D)1.90 A

Question

Quizplus · Accepted Answer

To find the total current in a parallel circuit, we use the equation:

1/RT = 1/R1 + 1/R2 + 1/R3 + ...

where RT is the total resistance, R1, R2, R3, ... are the individual resistances.

In this case, we have:

RT = 1/((1/R1) + (1/R2) + (1/R3))
RT = 1/((1/148) + (1/32) + (1/48))
RT = 0.02354 Ω

The total current supplied to the circuit can be found using Ohm's Law:

I = V / RT
I = 120 / 0.02354
I = 7.06 A

Therefore, the answer is B) 7.06 A.

A Fan,electric Heater,and Lamp Are Connected in Parallel Across a 120-V